Computational Mathematics & Statistics Seminar by Youngdeok Hwang: Bayesian Model Calibration and Sensitivity Analysis for Oscillating Biological Experiments
Title:
Bayesian Model Calibration and Sensitivity Analysis for Oscillating Biological Experiments
Speaker:
Youngdeok Hwang, Paul H. Chook Department of Information System and Statistics in the Zicklin School of Business, The City University of New York.
Abstract:
Most organisms exhibit various endogenous oscillating behaviors, which provide crucial information as to how the internal biochemical processes are connected and regulated. Understanding of molecular mechanisms behind these oscillators requires interdisciplinary efforts combining both biological and computer experiments, as the latter can complement the former by simulating with perturbed conditions with higher resolution. Simultaneously utilizing both experiments, however, poses significant statistical challenges due to identifiability issues, numerical instability, and ill behavior in high dimension. This article devises a new Bayesian calibration framework for oscillating biochemical models. The proposed Bayesian model is estimated using an advanced MCMC, which can efficiently infer the parameter values that match the simulated and observed oscillatory processes. Also proposed is a sensitivity analysis approach called the intervention posterior, to measure the influence of individual parameters on the target process by utilizing the obtained MCMC samples as a computational tool. The proposed framework is illustrated with circadian oscillations observed in a filamentous fungus Neurospora crassa.
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Computational Mathematics & Statistics